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Statement-I : The condition for the line...

Statement-I : The condition for the line y = mx+c to be a tangent to `(x+a)^(2)` = 4ay is c = am(1-m).
Statement-II : The condition for tbe line y = mx + c to be a focal chord to `y^(2) = 4ax` is c+am=0
Statement-III : The condition for the line y = mx + c to be a tangent `x^(2)=4ay` is c = -`am^(2)`
Which of above stattements is true

A

only I

B

only III

C

both I, II & III

D

neither I nor II

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PARABOLA-EXERCISE- II
  1. Angle between tangents drawn from origin to parabola y^(2)= 4a(x-a)is

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  2. The angle between tangents to the parabola y^(2)=4x at the points wher...

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  3. Statement-I : The condition for the line y = mx+c to be a tangent to (...

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  4. The condition that the line y=mx+c to be a tangent to the parabola y^(...

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  5. If the common tangent to circle x^(2)+y^(2)= c^(2) and the parabola y^...

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  6. Let x+y=k be a normal to the parabola y^(2)=12x . If p is the length o...

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  7. Equation of line touching both parabolas y^(2)=4x and x^(2) = -32y is

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  8. The points of contact of the tangents drawn from the point (4, 6) to t...

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  9. The locus of point of intersection of tangents to y^(2) = 4ax which in...

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  10. If a,b,c form a GP with common ratio r, the sum of the ordinates of th...

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  11. The locus of foot of perpendicular from the focus upon any tangent to ...

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  12. The locus of point of intersection of tangents drawn at the ends of ch...

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  13. The midpoint of the chord 2x-y-2=0 of the parabola y^(2)=8x is

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  14. Let O be the origin and A be a point on the cune y^(2)=4x then locus o...

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  15. The locus of the midpoints of the focal chords of the parabola y^(2)=4...

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  16. If PSP^(1) is a focal chord of a parabola y^(2)=4ax and SL is its semi...

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  17. The area of triangle formed by tangent and normal at (8, 8) on the par...

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  18. The area of triangle formed by tangents and the chord of contact from ...

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  19. The area of the triangle inseribed in the parabola y^(2)=4x the ordina...

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  20. L = (1, 3), L^(1) (1, -1) are the ends of latus rectum of a parabola. ...

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